Highlights of Recent Research Projects (2025–2026)

Our lab members continue to be active in research across numerical analysis, image reconstruction, and applied mathematics. Below is an overview of recently funded and ongoing research projects.

Research Projects – 2026

Researcher Research Title Funding Source
Ari Dwi Hartanto, S.Si., M.Sc., Ph.D. A Study on Multivariate Symmetric Hermite Interpolants Community Fund – Faculty Allocation
Ivan Luthfi Ihwani, S.Si., M.Sc., Ph.D. Newton method based on stable finite element discretization for wave propagation in heterogeneous media Community Fund – Faculty Allocation
Prof. Imam Solekhudin, S.Si., M.Si., Ph.D. Numerical Study of Diffusion–Convection Problems and Its Application to Infiltration Problems in Heterogeneous Media with Root Water Uptake Fundamental Research – Regular
Zenith Purisha, S.Si., M.Sc., Ph.D. Numerical Methods for Image Reconstruction from Dynamic X-ray Tomography Fundamental Research – Regular
Zenith Purisha, S.Si., M.Sc., Ph.D. Physics-Informed Neural Network-Based Image Inpainting Reconstruction Independent Research
Zenith Purisha, S.Si., M.Sc., Ph.D. Satellite Image Reconstruction from Atmospheric Interference Independent Research
Rudi Adha Prihandoko, S.Si., M.Si. On the Hyperbolicity of the Grass Equation Independent Research
Ivan Luthfi Ihwani, S.Si., M.Sc., Ph.D. Blow-up Dynamics and the Influence of Domain Geometry on the Keller-Segel Problems Mathematics Research Catalyst Grant

Research Projects – 2025

Researcher Research Title Funding Source
Dr. Sumardi, M.Si. Mathematical Analysis for Evaluating Performance Loss in Binary Classification Based on Likelihood Ratio under Multivariate Normal Distribution Community Fund – Faculty Allocation
Prof. Imam Solekhudin, S.Si., M.Si., Ph.D. Numerical Study and Simulation of Diffusion–Convection–Reaction Problems and Its Implementation in Pollutant Dispersion Problems FMIPA UGM Flagship Research Grant
Prof. Imam Solekhudin, S.Si., M.Si., Ph.D. Numerical Study of Diffusion–Convection Problems and Its Application to Infiltration Problems in Heterogeneous Media with Root Water Uptake Fundamental Research – Regular
Zenith Purisha, S.Si., M.Sc., Ph.D. Numerical Methods for Image Reconstruction from Dynamic X-ray Tomography Fundamental Research – Regular
Prof. Imam Solekhudin, S.Si., M.Si., Ph.D. Implementation of Numerical Methods for Solving Several Diffusion–Convection Problems Laboratory Mandate Grant
Ari Dwi Hartanto, S.Si., M.Sc., Ph.D. Development of Image Super-Resolution Methods Based on Nonlinear Partial Differential Equations Laboratory Mandate Grant
Ivan Luthfi Ihwani, S.Si., M.Sc., Ph.D. Newton–Chebyshev Spectral Method for the Nonlinear Bratu Problem with Bifurcation Analysis Independent Research
Rudi Adha Prihandoko, S.Si., M.Si. Stability Analysis of Sediment Transport Models under Dam-Break Flow Conditions Independent Research
Ari Dwi Hartanto, S.Si., M.Sc., Ph.D. Mathematical Modeling of Robotic Arm Movement and Its Solution Using Gröbner Basis Theory Independent Research
Zenith Purisha, S.Si., M.Sc., Ph.D. Dynamic X-ray Tomography Image Reconstruction Independent Research